Equivalent Resistance
Worksheet
1. The following three appliances are connected in series to a 120 V house circuit: a toaster, 1200 W; a coffee
pot, 750 W; and a microwave, 6.0 × 102 W. If all were operated at the same time, what total current would
they draw? 21A
2. Three resistors connected in series carry currents labeled I1, I2, and I3, respectively. What is the total current, It,
in the system made up of the three resistors in series? It = I1 = I2 = I3
3. Three resistors connected in parallel have voltages labeled ΔV1, ΔV2, and ΔV3. What is the total voltage across
the three resistors? ΔVt = ΔV1 = ΔV2 = ΔV3
4. Three resistors with values of R1, R2, and R3 are connected in series. What is the total resistance, Rt, of the
three resistors? Rt = R1 + R2 + R3
5. Three resistors with values of 3.0 Ω, 6.0 Ω, and 12 Ω are connected in series. What is the equivalent resistance
of this combination? 21 Ω
6. Three resistors with values of 4.0 Ω, 6.0 Ω, and 10.0 Ω are connected in parallel. What is their equivalent
resistance? 1.9 Ω
7. Two resistors with values of 6.0 Ω and 12 Ω are connected in parallel. This combination is connected in series
with a 4.0 Ω resistor. What is the overall resistance of this combination? 8.0 Ω
8. Three resistors with values of 18 Ω, 26 Ω, 9 Ω, respectively, are connected in series. What is their equivalent
resistance? 53 Ω
9. Three resistors with values of 15 Ω, 41 Ω, 58 Ω, respectively, are connected in parallel. What is the overall
resistance of this combination? 9.2 Ω
10. Two resistors with values of 6.0 Ω and 12 Ω are connected in parallel. This combination is connected in series
with a 2.0 Ω resistor and a 24 V battery. What is the current in the 2.0 Ω resistor? 4.0 A
11. What is the equivalent resistance for the resistors in the figure above? 5.2 Ω
12. What is the equivalent resistance for the resistors in the figure above? 2.25 Ω
1
Equivalent Resistance
Worksheet
13. For the circuit shown above find the following,
a.
What is the equivalent resistance for the resistors in the figure above? 10Ω
b.
What is the total voltage drop across the entire above circuit? 40V
c.
What is the total current in the circuit above? 4A
17. How much current is in one of the 10 Ω resistors in the diagram shown above? 0.8A
2
Equivalent Resistance
Worksheet
18.
What would the current through the 2 ohm resistor in the figure above if 120V is applied? 23A
3